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  1. A Semantics for Means-end Relations.Jesse Hughes, Peter Kroes & Sjoerd Zwart - 2007 - Synthese 158 (2):207-231.
    There has been considerable work on practical reasoning in artificial intelligence and also in philosophy. Typically, such reasoning includes premises regarding means–end relations. A clear semantics for such relations is needed in order to evaluate proposed syllogisms. In this paper, we provide a formal semantics for means–end relations, in particular for necessary and sufficient means–end relations. Our semantics includes a non-monotonic conditional operator, so that related practical reasoning is naturally defeasible. This work is primarily an exercise in conceptual analysis, aimed (...)
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  • From positive PDL to its non-classical extensions.Igor Sedlár & Vít Punčochář - 2019 - Logic Journal of the IGPL 27 (4):522-542.
    We provide a complete binary implicational axiomatization of the positive fragment of propositional dynamic logic. The intended application of this result are completeness proofs for non-classical extensions of positive PDL. Two examples are discussed in this article, namely, a paraconsistent extension with modal De Morgan negation and a substructural extension with the residuated operators of the non-associative Lambek calculus. Informal interpretations of these two extensions are outlined.
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